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rosijanka [135]
3 years ago
14

Suppose 5 men and 7 women are on a crowded elevator. At the next floor, four people get off the elevator. Find the probability t

hat none are women?
Mathematics
1 answer:
Svetach [21]3 years ago
5 0

Answer:    \bold{\dfrac{1}{99}}

<u>Step-by-step explanation:</u>

There are 5 men and 7 women, which is a total of 12 people.  Finding the probability that none of the four people are women is the same as saying that all four people are men.

\dfrac{5\ men}{12\ total\ people}\ and\ \dfrac{4\ men\ remaining}{11\ people\ remaining}\ and\ \dfrac{3\ men}{10\ people}\ and\ \dfrac{2\ men}{9\ people}\\\\\\=\dfrac{5\times 4\times 3\times 2}{12\times 11\times 10\times 9}\\\\=\dfrac{(4\times 3)\times (2\times 5)}{12\times 11\times 10\times 9}\\\\=\dfrac{1}{11\times 9}\\\\=\dfrac{1}{99}

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8 0
3 years ago
Please help ASAP!!!!!!!!!
algol [13]

Answer:

A = 23.6 units^2

Step-by-step explanation:

Let the base be 8 (as shown).

Find the height of the triangle:   Find the supplement of the 100 degree angle; it is (180 - 100), or 80 degrees.  The side "opposite" this 80-degree angle is the height of the triangle:

   

                               height      

sin 80 degrees = ---------------

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and so the height of the triangle is h = 6 sin 80 degrees, or 5.91 units.

The area of the triangle is found using A = (1/2)(base)(height), which here amounts to:

A = (1/2)(8 units)(5.91 units), or

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3 0
3 years ago
Jackson has 2,000 baseball cards in his collection. Gave has 1/10 as many baseball cards in his collection as jackson. How many
hoa [83]
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8 0
4 years ago
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bagirrra123 [75]

Answer: \dfrac{2}{9}

Step-by-step explanation:

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